document.write( "Question 103732: i know how to do linear combination, but i cannot get the right answer for this problem:
\n" ); document.write( "2x+y+52=2y+50
\n" ); document.write( "2x+y+52=x-3y+131\r
\n" ); document.write( "\n" ); document.write( "I need help finding x and y.\r
\n" ); document.write( "\n" ); document.write( "Thank you! \n" ); document.write( "
Algebra.Com's Answer #75410 by oberobic(2304)\"\" \"About 
You can put this solution on YOUR website!
First, always look at what you've been given
\n" ); document.write( "Equation 1: 2x+y+52=2y+50
\n" ); document.write( "Equation 2: 2x+y+52=x-3y+131
\n" ); document.write( "So, the transitive property tells us:
\n" ); document.write( "2y +50 = x -3y + 131
\n" ); document.write( "Subtracting 2y from both sides:
\n" ); document.write( "50 = x -3y + 2y + 131
\n" ); document.write( "Subtracting 50 from both sides:
\n" ); document.write( "0 = x -3y + 2y + 131 -50
\n" ); document.write( "Combining:
\n" ); document.write( "0 = x + y + 81
\n" ); document.write( "Subtracting x from both sides:
\n" ); document.write( "-x = y + 81
\n" ); document.write( "Multiplying by -1:
\n" ); document.write( "x = -y -81
\n" ); document.write( "Now you can substitute into Eq 1:
\n" ); document.write( "2(-y -81) +y +52 = 2y + 50
\n" ); document.write( "-2y -162 +y + 52 = 2y + 50
\n" ); document.write( "Combining:
\n" ); document.write( "-y -110 = 2y + 50
\n" ); document.write( "Adding y to both sides:
\n" ); document.write( "-110 = 3y + 50
\n" ); document.write( "Subtracting 50 from both sides:
\n" ); document.write( "-160 = 3y
\n" ); document.write( "Dividing through by 3:
\n" ); document.write( "-(53+1/3) = y
\n" ); document.write( "Since x+y+81=0, then
\n" ); document.write( "x+(-(53+1/3))+81=0
\n" ); document.write( "x+(27+2/3)=0
\n" ); document.write( "Subtract 27 2/3 from both sides
\n" ); document.write( "x = -27 2/3
\n" ); document.write( "ALWAYS check your work!\r
\n" ); document.write( "\n" ); document.write( "x+y=-81
\n" ); document.write( "-(27+2/3)+(-(53+1/3))-81 = 0. True\r
\n" ); document.write( "\n" ); document.write( "2x+y+52=2y+50
\n" ); document.write( "Lefthand side=
\n" ); document.write( "2*(-(27+2/3))+(-(53+1/3))+52=-56 2/3
\n" ); document.write( "Righthand side=
\n" ); document.write( "2(-(53+1/3))+50=-56 2/3
\n" ); document.write( "True again.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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